Question

Two rectangular boxes have the same height and length, but different widths as shown in the figure.
The difference in the volume of the boxes is 360 $c{m}^3$. Find the height of the Box 1.

• A. $8cm$
• B. $10cm$
• C. $12cm$
• D. $15cm$

Answer 1

The correct option is D $15cm$

Given:
For Box 1,
Length, $l_1=8cm$
Width, $b_1=9cm$
Height, $h_1=hcm$

For Box 2,
Length, $l_2=8cm$
Width, $b_2=12cm$
Height, $h_2=hcm$

Difference in the volume of the boxes, $V_2-V_1=360c{m}^3$

Volume of a cuboidal box is given by the product of length, width and height.

$l_2{b}_2{h}_2-l_1{b}_1{h}_1=360c{m}^3$
$12\times 8\times h-9\times 8\times h=360$
$24h=360$
$h=15$

Hence, Height of Box is, $h=15cm$